Use proportional relationships to solve the following problem. Riley needs to earn enough money to purchase a new jacket. The one he likes best is $49.99. His state sales tax is 7.25%. How much money does he need to earn? Round to the nearest dollar. (1 point)
To calculate the amount of money Riley needs to earn, we need to find the total cost of the jacket including the sales tax.
First, we need to calculate the amount of sales tax on the jacket. We can do this by multiplying the jacket price by the sales tax rate: $49.99 * 0.0725 = $3.62.
Next, we add the sales tax to the jacket price: $49.99 + $3.62 = $53.61.
Therefore, Riley needs to earn $53.61 to purchase the jacket.
To solve this problem using proportional relationships, we can set up the following ratio:
Price of the jacket : Total cost with tax = 100% : 100% + 7.25%
Let's calculate the total cost with tax:
Total cost with tax = Price of the jacket + (Price of the jacket × Sales tax rate)
= $49.99 + ($49.99 × 7.25%)
= $49.99 + ($49.99 × 0.0725)
= $49.99 + $3.624775
= $53.614775
Rounding to the nearest dollar, Riley needs to earn approximately $54 to purchase the jacket.
To solve this problem using proportional relationships, we need to understand the relationship between the price of the jacket and the sales tax.
The sales tax is a percentage of the price of the jacket, so we can express the relationship using the equation:
Sales Tax = Percentage x Price of the Jacket.
In this case, the percentage is 7.25% or 0.0725 as a decimal.
To calculate the sales tax, we multiply the percentage by the price of the jacket:
Sales Tax = 0.0725 x $49.99.
Using a calculator, we find that the sales tax is approximately $3.62.
To determine the total amount of money Riley needs to earn, we add the price of the jacket and the sales tax:
Total Cost = Price of the Jacket + Sales Tax.
Total Cost = $49.99 + $3.62.
Using a calculator, we get that the total cost is approximately $53.61.
Finally, round this amount to the nearest dollar to get the answer:
Riley needs to earn approximately $54.
Therefore, Riley needs to earn $54 to purchase the new jacket.